Unit 1:
Fundamental Statistics for Thermodynamics [4 h]Probability. Permutations and combinations. Probability distributions – discrete and continuous binomial, Poisson and Gaussian distributions. Combinatorial analysis for statistical thermodynamics – distinguishable objects and indistinguishable objects.
Unit 2:
Statistical Thermodynamics – I [9 h]Thermodynamic probability. Entropy and probability. Phase space. Ensembles and ensemble average – microcanonical ensemble, entropy of a perfect gas, entropy of mixing of ideal gases and Gibbs paradox, canonical ensemble, grand canonical ensemble. General formulations of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein statistics.
Unit 3:
Statistical Thermodynamics – II [12 h]Partition function for poly atomic molecules – partition function for free linear motion, free motion in a shared space, linear harmonic vibrations, translational, rotational and vibrational partition functions, molecular partition functions, partition functions and thermodynamic properties, calculation of equilibrium constant. Heat capacity – classical and quantum statistical theory of specific heat residual entropy.
Unit 4:
Irreversible Thermodynamics [10 h]Examples for irreversible process. Steady state and near equilibrium conditions. Linear relations – phenomenological coefficients, Onsager reciprocal relations. One component system with heat and mass transport – entropy production. Heat and mass transport in multicomponent systems. Principle of macroscopic reversibility and Onsagers reciprocal relations. Verification of Onsager relations.
Unit 5:
Irreversible Thermodynamics [10 h]Application of irreversible thermodynamics – thermoelectricity, electro-kinetic phenomena, thermomolecular pressure difference, mechanocaloric effects, transference in aqueous solutions of electrolytes. Stationary non-equilibrium state. Irreversible thermodynamics for the non-linear regime. Chemical reactions and molecular machines. Applications of irreversible thermodynamics to biological systems.